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Volumn 37, Issue 2, 2005, Pages 279-296

The Poisson-Voronoi tessellation: Relationships for edges

Author keywords

Adjacent angle; Distance; Edge length; Moment; Neighbor; Probability density function

Indexed keywords

INTEGRAL EQUATIONS; MATHEMATICAL MODELS; POISSON DISTRIBUTION; RANDOM PROCESSES;

EID: 22244488409     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1239/aap/1118858626     Document Type: Article
Times cited : (33)

References (19)
  • 1
    • 0040369120 scopus 로고
    • Statistics of random plane Voronoi tessellations
    • Preprint, Department of Mathematical Sciences, Susquehanna University Selinsgrove, PA
    • Brakke, K. A. (1985). Statistics of random plane Voronoi tessellations. Preprint, Department of Mathematical Sciences, Susquehanna University Selinsgrove, PA.
    • (1985)
    • Brakke, K.A.1
  • 2
    • 0040369120 scopus 로고
    • Statistics of three dimensional random Voronoi tessellations
    • Preprint, Department of Mathematical Sciences, Susquehanna University Selinsgrove, PA
    • Brakke, K. A. (1985). Statistics of three dimensional random Voronoi tessellations. Preprint, Department of Mathematical Sciences, Susquehanna University Selinsgrove, PA.
    • (1985)
    • Brakke, K.A.1
  • 3
    • 0014371893 scopus 로고
    • A geometric sum rule for two-dimensional fluid correlation functions
    • Collins, R. (1968). A geometric sum rule for two-dimensional fluid correlation functions. J. Phys. C 1, 1461-1471.
    • (1968) J. Phys. C , vol.1 , pp. 1461-1471
    • Collins, R.1
  • 4
    • 0002310331 scopus 로고
    • Melting and statistical geometry of simple liquids
    • eds C. Domb and M. S. Green, Academic Press, New York
    • Collins, R. (1972). Melting and statistical geometry of simple liquids. In Phase Transitions and Critical Phenomena, eds C. Domb and M. S. Green, Academic Press, New York, pp. 271-303.
    • (1972) Phase Transitions and Critical Phenomena , pp. 271-303
    • Collins, R.1
  • 5
    • 0037357810 scopus 로고    scopus 로고
    • Decomposition of gamma-distributed domains constructed from Poisson point processes
    • Cowan, R., Quine, M. and Zuyev, S. (2003). Decomposition of gamma-distributed domains constructed from Poisson point processes. Adv. Appl. Prob. 35, 56-69.
    • (2003) Adv. Appl. Prob. , vol.35 , pp. 56-69
    • Cowan, R.1    Quine, M.2    Zuyev, S.3
  • 6
    • 0038719858 scopus 로고    scopus 로고
    • Coverage in wireless ad-hoc sensor networks
    • Li, X.-Y., Wan, P.-J. and Frieder, O. (2003). Coverage in wireless ad-hoc sensor networks. IEEE Trans. Comput. 526, 753-763.
    • (2003) IEEE Trans. Comput. , vol.526 , pp. 753-763
    • Li, X.-Y.1    Wan, P.-J.2    Frieder, O.3
  • 7
    • 0032190305 scopus 로고    scopus 로고
    • Analytical shape computation of macromolecules. I. Molecular area and volume through alpha shape
    • Liang, J. et al. (1998). Analytical shape computation of macromolecules. I. Molecular area and volume through alpha shape. Proteins Structure Function Genet. 33, 1-17.
    • (1998) Proteins Structure Function Genet. , vol.33 , pp. 1-17
    • Liang, J.1
  • 8
    • 84985399698 scopus 로고
    • The Poisson Voronoi tessellation. I. A basic identity
    • Mecke, J. and Muche, L. (1995). The Poisson Voronoi tessellation. I. A basic identity. Math. Nachr. 176, 199-208.
    • (1995) Math. Nachr. , vol.176 , pp. 199-208
    • Mecke, J.1    Muche, L.2
  • 9
    • 0002927510 scopus 로고
    • On the homogeneous planar Poisson point process
    • Miles, R. E. (1970). On the homogeneous planar Poisson point process. Math. Biosci. 6, 85-127.
    • (1970) Math. Biosci. , vol.6 , pp. 85-127
    • Miles, R.E.1
  • 10
    • 0009831280 scopus 로고
    • A synopsis of 'Poisson flats in Euclidean spaces'
    • eds E. F. Harding and D. G. Kendall, John Wiley, New York
    • Miles, R. E. (1974). A synopsis of 'Poisson flats in Euclidean spaces'. In Stochastic Geometry, eds E. F. Harding and D. G. Kendall, John Wiley, New York, pp. 202-227.
    • (1974) Stochastic Geometry , pp. 202-227
    • Miles, R.E.1
  • 13
    • 0000580729 scopus 로고    scopus 로고
    • The Poisson-Voronoi tessellation. II. Edge length distribution functions
    • Muche, L. (1996). The Poisson-Voronoi tessellation. II. Edge length distribution functions. Math. Nachr. 178, 271-283.
    • (1996) Math. Nachr. , vol.178 , pp. 271-283
    • Muche, L.1
  • 14
    • 22244438656 scopus 로고    scopus 로고
    • Delaunay and Voronoi tessellation: Minkowski functionals and edge characteristics
    • Prague, June 1999), eds V. Beneš, J. Janáček and I. Saxl, Union of Czech Mathematicians and Physicists, Prague
    • 4G (Internat. Conf. Stereology, Spatial Statist. Stoch. Geom.; Prague, June 1999), eds V. Beneš, J. Janáček and I. Saxl, Union of Czech Mathematicians and Physicists, Prague, pp. 21-30.
    • (1999) 4G (Internat. Conf. Stereology, Spatial Statist. Stoch. Geom. , pp. 21-30
    • Muche, L.1
  • 15
    • 0006113474 scopus 로고
    • Contact and chord length distributions of the Poisson Voronoi tessellation
    • (Correction: 30 (1993), 749.)
    • Muche, L. and Stoyan, D. (1992). Contact and chord length distributions of the Poisson Voronoi tessellation. J. Appl. Prob. 29, 467-471. (Correction: 30 (1993), 749.)
    • (1992) J. Appl. Prob. , vol.29 , pp. 467-471
    • Muche, L.1    Stoyan, D.2
  • 17
    • 0000577178 scopus 로고    scopus 로고
    • Free volume in the hard sphere liquid
    • Sastry, S. et al. (1998). Free volume in the hard sphere liquid. Molec. Phys. 952, 289-297.
    • (1998) Molec. Phys. , vol.952 , pp. 289-297
    • Sastry, S.1
  • 18
    • 0040198042 scopus 로고    scopus 로고
    • A formula for the edge length distribution function of the Poisson Voronoi tessellation
    • Schlather, M. (2000). A formula for the edge length distribution function of the Poisson Voronoi tessellation. Math. Nachr. 214, 113-119.
    • (2000) Math. Nachr. , vol.214 , pp. 113-119
    • Schlather, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.